Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Apply the distributive property to factor out the greatest common factor of all three terms.

24 c+36 d+18=

Apply the distributive property to factor out the greatest common factor of all three terms. $\newline$ $24 c+36 d+18=$

View step-by-step help

View step-by-step help

Evaluate logarithms using properties

Full solution

Q. Apply the distributive property to factor out the greatest common factor of all three terms.

\newline

24 c+36 d+18=

Identify GCF of coefficients: Identify the greatest common factor (GCF) of the numerical coefficients $24$ , $36$ , and $18$ . $\newline$ To find the GCF, we list the factors of each number and find the largest factor that is common to all three. $\newline$ Factors of $24$ : $1$ , $2$ , $3$ , $4$ , $6$ , $8$ , $36$ $0$ , $24$ $\newline$ Factors of $36$ : $1$ , $2$ , $3$ , $4$ , $6$ , $36$ $8$ , $36$ $0$ , $18$ , $36$ $\newline$ Factors of $18$ : $1$ , $2$ , $3$ , $6$ , $36$ $8$ , $18$ $\newline$ The GCF is $6$ .
Use distributive property: Use the distributive property to factor out the GCF from each term. $\newline$ The distributive property states that $a(b + c) = ab + ac$ . $\newline$ Applying this to our expression, we get: $\newline$ $6\left(\frac{24c}{6} + \frac{36d}{6} + \frac{18}{6}\right)$ $\newline$ Perform the division for each term: $\newline$ $6(4c + 6d + 3)$
Perform division for each term: Check the factored expression to ensure that when the GCF is distributed back to each term, we get the original expression. $\newline$ $6 \times 4c = 24c$ $\newline$ $6 \times 6d = 36d$ $\newline$ $6 \times 3 = 18$ $\newline$ The original expression is recovered, so there is no math error.

More problems from Evaluate logarithms using properties

Question

x

\newline

5^x=1

\newline

\newline

Write your answer in simplest form.

Posted 5 months ago

Question

Steven opened a savings account and deposited

\$100.00

as principal. The account earns

9\%

interest, compounded annually. What is the balance after

5

\newline

Use the formula

A = P(1 + \frac{r}{n})^{nt}

A

is the balance (final amount),

P

is the principal (starting amount),

r

is the interest rate expressed as a decimal,

n

is the number of times per year that the interest is compounded, and

t

is the time in years.

\newline

Round your answer to the nearest cent.

Posted 4 months ago

Question

Use the following function rule to find

f(1)

\newline

f(x) = 12(7)^x + 8

Posted 5 months ago

Question

The town of Valley View conducted a census this year, which showed that it has a population of

1,800

people. Based on the census data, it is estimated that the population of Valley View will grow by

12\%

\newline

Write an exponential equation in the form

y = a(b)^x

that can model the town population,

y

x

decades after this census was taken.

\newline

Use whole numbers, decimals, or simplified fractions for the values of

a

b

\newline

y =

Posted 8 months ago

Question

x

\newline

7 = 9^x

\newline

Round your answer to the nearest thousandth.

Posted 4 months ago

Question

Solve. Round your answer to the nearest thousandth.

\newline

7 = e^x

\newline

x =

Posted 7 months ago

Question

Solve. Simplify your answer.

\newline

\log u = 1

\newline

u =

Posted 9 months ago

Question

Solve. Simplify your answer.

\newline

7\log x = 7

\newline

x =

Posted 7 months ago

Question

g(t) = 3^t

change over the interval from

t = 3

t = 4

\newline

\newline

g(t)

3

\newline

g(t)

3

\newline

g(t)

3\%

\newline

g(t)

200\%

Posted 4 months ago

Question

f(x)

6

over every unit interval in

x

f(0) = 0

\newline

Which could be a function rule for

f(x)

\newline

\newline

f(x) = 6x

\newline

f(x) = 6^x

\newline

f(x) = \frac{1}{6^x}

\newline

f(x) = \frac{x}{6}

Posted 4 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant